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Finding the Fourth Proportional to 2,566.80, 3,542.57 and 1,447.84

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Solution

The fourth proportional to 2,566.80, 3,542.57 and 1,447.84 is: 1,998.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.80 : 3,542.57 = 1,447.84 : x
  2. Step 2: Convert to fraction form
    2,566.80/3,542.57 = 1,447.84/x
  3. Step 3: Cross multiply
    2,566.80x = 3,542.57 × 1,447.84
  4. Step 4: Simplify right side
    2,566.80x = 5,129,077.17
  5. Step 5: Solve for x
    x = 5,129,077.17/2,566.80
  6. Step 6: Final answer
    x = 1,998.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.